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An equation of a circle is given by x2 + y2 – 6x + 8y – 11 = 0
Find its centre and radius
(Solved)
An equation of a circle is given by x2 + y2 – 6x + 8y – 11 = 0
Find its centre and radius
Date posted:
March 27, 2019
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Answers (1)
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A regular octagon has sides of 8 cm. Calculate its area to 3 s.f.
(Solved)
A regular octagon has sides of 8 cm. Calculate its area to 3 s.f.
Date posted:
March 27, 2019
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Answers (1)
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A metal rod, cylindrical in shape has a radius of 4 cm and length of 14 cm. It is melted down and recast into small...
(Solved)
A metal rod, cylindrical in shape has a radius of 4 cm and length of 14 cm. It is melted down and recast into small cubes of 2 cm length. Find how many such cubes are obtained
Date posted:
March 27, 2019
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Answers (1)
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A rectangle measures 3.6 cm by 2.8 cm. Find the percentage error in calculating its perimeter.
(Solved)
A rectangle measures 3.6 cm by 2.8 cm. Find the percentage error in calculating its perimeter.
Date posted:
March 27, 2019
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Answers (1)
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A quantity P varies inversely as Q2 Given that P = 4 When Q = 2. , write the equation joining P and Q
hence find...
(Solved)
A quantity P varies inversely as Q2 Given that P = 4 When Q = 2. , write the equation joining P and Q
hence find P when Q = 4
Date posted:
March 27, 2019
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Answers (1)
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Find the value of ? within ? < ? < 360O if Cos (2 ? + 120) = 3/2
(Solved)
Find the value of θ within θ < θ < 360O if Cos (2 θ + 120) = 3/2
Date posted:
March 27, 2019
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Answers (1)
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A glass of juice of 200 ml content is such that the ratio of undiluted juice to water is 1: 7 Find how many diluted...
(Solved)
A glass of juice of 200 ml content is such that the ratio of undiluted juice to water is 1: 7 Find how many diluted glasses can be made from a container with 3 litres undiluted juice
Date posted:
March 27, 2019
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Answers (1)
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The cost of 3 plates and 4 cups is Shs. 380. 4 plates and 5 cups cost Shs. 110 more than this. Find the cost...
(Solved)
The cost of 3 plates and 4 cups is Shs. 380. 4 plates and 5 cups cost Shs. 110 more than this. Find the cost of each item.
Date posted:
March 27, 2019
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Answers (1)
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Shs. 6000 is deposited at compound interest rate of 13%. The same amount is deposited at 15% simple interest. Find which amount is more and...
(Solved)
Shs. 6000 is deposited at compound interest rate of 13%. The same amount is deposited at 15% simple interest. Find which amount is more and by how much after 2 years in the bank.
Date posted:
March 27, 2019
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Answers (1)
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Solve for x by completing the square
(Solved)
Solve for x by completing the square
2x2 - 5x + 1 = 0
Date posted:
March 27, 2019
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Answers (1)
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Use logarithm tables to evaluate
(Solved)
Use logarithm tables to evaluate
Date posted:
March 27, 2019
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Answers (1)
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The second,fourth and seventh terms of an arithmetic progression (A.P)are the first three.Consecutive terms of a geometric progression (G.P).If the common difference of the A.P...
(Solved)
The second,fourth and seventh terms of an arithmetic progression (A.P) are the first three consecutive terms of a geometric progression (G.P).If the common difference of A.P is 2,find:
(a)The common ratio of the G.P.
(b)The last term of the A.P given that there are eighteen terms.
(c)The sum of the first 14 terms of the G.P.
Date posted:
February 28, 2019
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Answers (1)
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Tickets for a football match cost 100 shillings and 50 shillings and tickets to the value of Kenya pounds 100,000 were sold.If 30% more...
(Solved)
Tickets for a football match cost 100 shillings and 50 shillings and tickets to the value of Kenya pounds 100,000 were sold. If 30% more sh. 50 tickets and 40% fewer sh.100 tickets had been sold, the income would have increased to Kenya pounds 112,500.How many tickets of each category were sold?
Date posted:
February 28, 2019
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Answers (1)
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The equation of a curve is y=1/3x³-2x²-3x+5.
(i)Determine the stationary points of the curve.
(ii)For each point in a(i) above determine the nature of the points.
(b)Find the...
(Solved)
The equation of the curve is y=1/3x³-2x²+3x+5.
(a)(i)Determine the stationary points of the curve.
(ii)For each point in (a)(i) above determine the nature of the points.
(b)Find the equation of the tangent to the curve at x=2.
Date posted:
February 25, 2019
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Answers (1)
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Two towns P and Q are 580km apart.A bus left P at 6.10a.m.and maintains an average speed of 90km/hr between P and Q.A car starts...
(Solved)
Two towns P and Q are 580km/hr apart.A bus left town P at 6.10a.m. and maintains an average speed of 90km/hr between P and Q. A car starts from Q at 8.00a.m. and travelled towards P at an average speed of 120km/hr.The car stopped for a total of 30 minutes on the way before meeting the bus.
(a)(i)How far from town P did they meet?
(ii)At what time did they meet?
(b)A rally driver starts from town Q towards town P at 9.30a.m.If he averages 180km/hr,calculate;
(i)The distance from Q when the rally driver overtook the car.
(ii)The time when the rally driver overtook the car.
Date posted:
February 25, 2019
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Answers (1)
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Find the constant term in the expression
(Solved)
Find the constant term in the expression 
Date posted:
February 25, 2019
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Answers (1)
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The cash price of a bed is shs.6500.A man buys it on hire purchase by making a down payment of shs.2300 followed by 12 months...
(Solved)
The cash price of a bed is shs.6500.A man buys it on hire purchase by making a down payment of shs. 2300 followed by 12 months installments of shs.490.Calculate the rate of carrying charge per month.
Date posted:
February 25, 2019
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Answers (1)
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A solid cone with a vertical height of 6cm and base radius 3cm is melted and recast into 8 identical hemispheres. Find the total surface...
(Solved)
A solid cone with a vertical height of 6cm and base radius 3cm is melted and recast into 8 identical hemispheres. Find the total surface area of such 7 hemispheres.
(Take π= 22/7)
Date posted:
February 25, 2019
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Answers (1)
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Three businessmen Mwanzia,Godana and Macharia decided to buy a bus.The marked price of the bus was shs.7,200,000.The dealers agreed that the three men could pay...
(Solved)
Three businessmen Mwanzia,Godana and Macharia decided to buy a bus. The marked price of the bus was shs.7,200,000.The dealers agreed that the three men could pay a deposit of 40% of the money and the rest to be paid within one year. Mwanzia,Godana and Macharia raised the deposit in the ratio 2:3:4 respectively. The balance plus 10% interest on the outstanding amount was to be paid to the dealer from the proceeds from the bus operations in the same ratio as the deposits. The businessmen agreed to jointly save 15% of the proceeds for maintenance. During the year the bus realized shs.8,044,000.
(a)How much of the deposit did Godana contribute?
(b)How much of the remaining amount did Macharia pay at the end of the year?
(c)After paying the remaining amount at the end of the year, how much money was Mwanzia left with?
Date posted:
February 25, 2019
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Answers (1)
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Janet and Martha both drive a distance of 96Km but Martha average speed is 16km/hr slower than Janet's and consequently she takes 30 minutes longer...
(Solved)
Janet and Martha both drive a distance of 96km but Martha average speed is 16km/hr slower than Janet's and consequently she takes 30 minutes longer to complete the journey. Calculate Janet's average speed.
Date posted:
February 25, 2019
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Answers (1)